Answer:
x^2 + 5n = 4mx
=> x^2 - 4mx + 5n = 0
D=0 (since one root then roots are equal)
b^2-4ac = 0
(-4m)^2 - 4(1)(5n) = 0
16m^2 - 20n = 0
16m^2 = 20n
8m^2 = 10n
4m^2 = 5n
hope it helps.......
Sample space ={6y+11b+15g+3bk} = 35 elements
number of black rings=3
probability (black ring) =3/35=0.085
Answer:
The coordinates of H′ are (-2,0).
Step-by-step explanation:
It is given that square EFGH stretches vertically by a factor of 2.5 with respect to the x-axis to create rectangle E′F′G′H′.
If a figure stretches vertically by a factor of 2.5 with respect to the x-axis, then the x-coordinates remains same and the points which lie on the axis are also remains the same after stretch.
It is given that the coordinates of H are (-2,0). This point lie on the x-axis, therefore it will remains the same after stretch.
Therefore the coordinates of H′ are (-2,0).
Answer:
y = 3x
Step-by-step explanation:
Let's select two points from the given graph.
(1,3) (3,9)
Now, let's use slope formula to find the slope.
m = y2-y1/x2-x1
= 9-3/3-1
= 6/2
= 3
Let's substitute/plug this value into the slope-intercept form.
y = 3x + b
We can see that the y-intercept is 0, from the graph.
b = 0
Therefore,
y = 3x
Answer:
D
Step-by-step explanation:
D's equation shows y equals 7.8 times x. 7.8 is the unit rate.